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Finding the Third Proportional to 187,273.13 and 412,722

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Solution

The third proportional to 187,273.13 and 412,722 is: 909,577.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,273.13 : 412,722 = 412,722 : x
  2. Step 2: Convert to fraction form
    187,273.13/412,722 = 412,722/x
  3. Step 3: Cross multiply
    187,273.13x = 412,722 × 412,722
  4. Step 4: Simplify right side
    187,273.13x = 170,339,449,284
  5. Step 5: Solve for x
    x = 170,339,449,284/187,273.13
  6. Step 6: Final answer
    x = 909,577.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.